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Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various…

Statistical Mechanics · Physics 2016-12-23 Leila Shahsavar , Malihe Ghodrat , Afshin Montakhab

A new methodology is developed to integrate numerically the equations of motion for classical many-body systems in molecular dynamics simulations. Its distinguishable feature is the possibility to preserve, independently on the size of the…

Statistical Mechanics · Physics 2009-10-31 I. P. Omelyan , I. M. Mryglod , R. Folk

The quasi-neutral hybrid particle-in-cell algorithm with kinetic ions and fluid electrons is a popular model to study multi-scale problems in laboratory, space, and astrophysical plasmas. Here, it is shown that the treatment of ions as…

Plasma Physics · Physics 2020-08-26 A. Stanier , L. Chacon , A. Le

A dielectric solvation model is applied to the prediction of the equilibrium ionization of liquid water over a wide range of density and temperature with the objective of calibrating that model for the study of ionization in water of…

chem-ph · Physics 2009-09-25 Gregory J. Tawa , Lawrence R. Pratt

Dynamical equations in generalized hydrodynamics (GHD), a hydrodynamic theory for integrable quantum systems at the Euler scale, take a rather simple form, even though an infinite number of conserved charges are taken into account. We show…

Statistical Mechanics · Physics 2018-01-31 Benjamin Doyon , Takato Yoshimura , Jean-Sébastien Caux

This review describes the theory and implementation of implicit solvation models based on continuum electrostatics. Within quantum chemistry this formalism is sometimes synonymous with the polarizable continuum model, a particular…

Chemical Physics · Physics 2022-03-15 John M. Herbert

Based on the thermodynamic perturbation theory (TPT) and the Random phase approximation (RPA), we present a statistical theory of solutions of electrically neutral soft molecules, every of which is modelled as a set of sites that interact…

Soft Condensed Matter · Physics 2019-03-12 Yu. A. Budkov

To study acoustic wave propagation and the corresponding energy deposition in partially ionized plasmas, we use a two-fluid computational model that treats neutrals and charged particles (electrons and ions) as two separate fluids. This…

Plasma Physics · Physics 2021-04-26 Fan Zhang , Stefaan Poedts , Andrea Lani , Błażej Kuźma , Kris Murawski

In this paper we study the realization of lattice models in mixtures of atomic and dipolar molecular quantum gases. We consider a situation where polar molecules form a self-assembled dipolar lattice, in which atoms or molecules of a second…

Other Condensed Matter · Physics 2015-05-13 M. Ortner , A. Micheli , G. Pupillo , P. Zoller

Application of integral equation theory to complex fluids is reviewed, with particular emphasis to the effects of polydispersity and anisotropy on their structural and thermodynamic properties. Both analytical and numerical solutions of…

Soft Condensed Matter · Physics 2011-12-23 Domenico Gazzillo , Achille Giacometti

The diffusivity of water in aqueous cesium iodide solutions is larger than that in neat liquid water, and vice versa for sodium chloride solutions. Such peculiar ion-specific behavior, called anomalous diffusion, is not reproduced in…

Chemical Physics · Physics 2023-10-26 Nikhil V. S. Avula , Michael L. Klein , Sundaram Balasubramanian

Electrostatic forces play many important roles in molecular biology, but are hard to model due to the complicated interactions between biomolecules and the surrounding solvent, a fluid composed of water and dissolved ions. Continuum model…

Numerical Analysis · Mathematics 2015-12-29 Jaydeep P. Bardhan , Matthew G. Knepley

This comment addresses discrepancies in dielectric constant calculations of water under extreme conditions (~10 GPa and 1000 K) between Fowler et al.'s recent study [Geochim. Cosmochim. Acta 372, 111-123 (2024)] and the earlier work by Pan…

Geophysics · Physics 2025-08-11 Jiajia Huang , Ding Pan

In traditional hydrodynamic theories for ionic fluids, conservation of the mass and linear momentum is not properly taken care of. In this paper, we develop hydrodynamic theories for a viscous, ionic fluid of $N$ ionic species enforcing…

Fluid Dynamics · Physics 2018-11-08 Xiaogang Yang , Yuezheng Gong , Jun Li , Robert S. Eisenberg , Qi Wang

A subsystem approach for obtaining electron binding energies in the valence region and apply it to the case of halide ions (X$^-$, X = F-At) in water. This approach is based on electronic structure calculations combining the relativistic…

Simulations are made of a probe particle diffusing through a complex fluid. Probe particle motions are described by the Mori-Zwanzig equation and Mori's orthogonal hierarchy of random forces scheme, subject to the approximation that the…

Soft Condensed Matter · Physics 2014-06-20 George D. J. Phillies

The Gordian knot of density-functional theories for classical molecular liquids remains finding an accurate free-energy functional in terms of the densities of the atomic sites of the molecules. Following Kohn and Sham, we show how to solve…

Soft Condensed Matter · Physics 2009-02-10 Johannes Lischner , T. A. Arias

This paper reviews the molecular theory of hydrophobic effects relevant to biomolecular structure and assembly in aqueous solution. Recent progress has resulted in simple, validated molecular statistical thermodynamic theories and…

Chemical Physics · Physics 2015-06-26 Lawrence R. Pratt

Studying chemical reactions at very low temperatures is of importance for the understanding of fundamental physical and chemical processes. At very low energies, collisions are dominated by only a few partial waves. Thus, studies in this…

Chemical Physics · Physics 2017-03-30 Dongdong Zhang , Stefan Willitsch

The hydration free energies of ions exhibit an approximately quadratic dependence on the ionic charge, as predicted by the Born model. We analyze this behavior using second-order perturbation theory. This provides effective methods to…

chem-ph · Physics 2008-02-03 Gerhard Hummer , Lawrence R. Pratt , Angel E. Garcia